25 February, 19:07
Factor completely. 6x^4-9x^3-36x^2+54x
25 February, 19:36
3x (2x - 3) (x^2 - 6)
6x^4 - 9x^3 - 36x^2 + 54x =
First, factor out the largest common factor of all terms. It is 3x.
= 3x (2x^3 - 3x^2 - 12x + 18)
Now you have 4 terms inside the parentheses. Try factoring by grouping. Factor a the largest common factor out of the first two terms, and factor the largest common factor out of the last two terms.
= 3x[x^2 (2x - 3) - 6 (2x - 3) ]
Now you have a common term of (2x - 3), so factor that out.
= 3x (2x - 3) (x^2 - 6)
Factoring means factoring completely, so we look at each factor to see if it can be factored further. Let's look at each factor.
3x is not factorable.
2x - 3 is not factorable.
x^2 - 6 is a difference, but since 6 is not a perfect square, it is not a difference of squares, so it cannot be factored.
Answer: 3x (2x - 3) (x^2 - 6)
25 February, 20:41
3x (2x-3) (x2-6)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅
“Factor completely. 6x^4-9x^3-36x^2+54x ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
New Questions in Mathematics
A super-deadly strain of bacteria is causing the zombie population to double every day. Currently, there are 25,600 zombies, how many zombies were there 10 days ago?
At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00 what were the prices for the gloves and hats?
A movie theather charges $10 and 50 cent per ticket and five dollars per bucket of popcorn. You never buy the popcorn because you think it's too expensive. Is the total price you pay proportional to the number of tickets you buy?
The discriminant of a quadratic equation has a value of 0. Which of the following is true? A. There is one real solution. B. There is no real solution. C. There is one complex solution. D. There are two complex solutions
Aubrey brought 2 1/2 pans of lasagna to a family dinner. During the meal, Aubrey and her family ate 75% of the lasagna. At the end of the dinner, Aubrey's brother took home 1/2 of a pan of lasagna.
» Factor completely. 6x^4-9x^3-36x^2+54x